An Interplay Between n-Power quasinormal and w-Hyponormal operators

Abstract

In this monograph, via Aluthge transformations, it is proved that every n-Power normal operator is normaloid and through paranormality, w-hyponormal operators are shown to be indepedent from n-Power normal, hence from n-Power quasinormal operators. Nevertheless, an attempt to throw more materials- rather than the class of normal operators-, in the intersection of these non-normal classes is presented.